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Finding the Fourth Proportional to 11,904.15, 17,857.10 and 3,139

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Solution

The fourth proportional to 11,904.15, 17,857.10 and 3,139 is: 4,708.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,904.15 : 17,857.10 = 3,139 : x
  2. Step 2: Convert to fraction form
    11,904.15/17,857.10 = 3,139/x
  3. Step 3: Cross multiply
    11,904.15x = 17,857.10 × 3,139
  4. Step 4: Simplify right side
    11,904.15x = 56,053,436.90
  5. Step 5: Solve for x
    x = 56,053,436.90/11,904.15
  6. Step 6: Final answer
    x = 4,708.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.